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Finding the Fourth Proportional to 25,847.34, 38,774.64 and 12,700.23

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Solution

The fourth proportional to 25,847.34, 38,774.64 and 12,700.23 is: 19,052.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,847.34 : 38,774.64 = 12,700.23 : x
  2. Step 2: Convert to fraction form
    25,847.34/38,774.64 = 12,700.23/x
  3. Step 3: Cross multiply
    25,847.34x = 38,774.64 × 12,700.23
  4. Step 4: Simplify right side
    25,847.34x = 492,446,846.17
  5. Step 5: Solve for x
    x = 492,446,846.17/25,847.34
  6. Step 6: Final answer
    x = 19,052.13

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.